110406680 has 32 divisors (see below), whose sum is σ = 249693840. Its totient is φ = 43935360.

The previous prime is 110406677. The next prime is 110406719. The reversal of 110406680 is 86604011.

110406680 = T₆₆₄₃ + T₆₆₄₄ + ... + T₆₆₄₇.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875 + ... + 14885.

Almost surely, 2^110406680 is an apocalyptic number.

110406680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110406680 is an abundant number, since it is smaller than the sum of its proper divisors (139287160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110406680 is a wasteful number, since it uses less digits than its factorization.

110406680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14219 (or 14215 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 110406680 is about 10507.4583035099. The cubic root of 110406680 is about 479.7317366745.

The spelling of 110406680 in words is "one hundred ten million, four hundred six thousand, six hundred eighty".